Search a number
-
+
324439344 = 24341391801
BaseRepresentation
bin10011010101101…
…000110100110000
3211121111020010000
4103111220310300
51131024024334
652105510000
711016455205
oct2325506460
9747436100
10324439344
11157157099
12907a2300
13522a6a58
1431135cac
151d73a299
hex13568d30

324439344 has 100 divisors (see below), whose sum is σ = 946302280. Its totient is φ = 107308800.

The previous prime is 324439331. The next prime is 324439361. The reversal of 324439344 is 443934423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 324439299 and 324439308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179244 + ... + 181044.

Almost surely, 2324439344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324439344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473151140).

324439344 is an abundant number, since it is smaller than the sum of its proper divisors (621862936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324439344 is a wasteful number, since it uses less digits than its factorization.

324439344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1945 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 324439344 is about 18012.1998656466. The cubic root of 324439344 is about 687.1388518184.

The spelling of 324439344 in words is "three hundred twenty-four million, four hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 139 144 162 216 278 324 417 432 556 648 834 1112 1251 1296 1668 1801 2224 2502 3336 3602 3753 5004 5403 6672 7204 7506 10008 10806 11259 14408 15012 16209 20016 21612 22518 28816 30024 32418 43224 45036 48627 60048 64836 86448 90072 97254 129672 145881 180144 194508 250339 259344 291762 389016 500678 583524 751017 778032 1001356 1167048 1502034 2002712 2253051 2334096 3004068 4005424 4506102 6008136 6759153 9012204 12016272 13518306 18024408 20277459 27036612 36048816 40554918 54073224 81109836 108146448 162219672 324439344